Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
I think 5 stamps is ganna cost 1.68 .
<span>The answer is 5. The question wants you to compose the functions to get g(x) composed of f(x). Typically, when composing functions your substitute the second function into the first function in place of x. However, the function g(x) is constant at 5 since it has no x values. g(x)=5 means that g(x) is 5 at all values of x. Thus, in this case, it doesn't matter that we are doing a composition because the top-level function is g(x) and g(x) is 5 no matter what.</span>
She will have to buy 8 jars for her to make a profit of $214
<h3>How to calculate the profit percent</h3>
If Alissa buys 6 jars of honey for $65, then;
- Cost price = 6(65) = $390
If she sells 5 jars for $72, the selling price will be:
Selling price = 5(72) = $360
If she is to make a profit od $214
Profit = selling price - Cost price
214 = n(72) - 390
72n = 214 + 390
72n = 604
n = 8
Hence she will have to buy 8 jars for her to make a profit of $214
Learn more on profit here: brainly.com/question/19104371
The length of room = 10 ft
the width = 14 ft
the height = 12 ft
there are 4 walls and the floor
one wall has area = 10*12=120 ft^2
4 walls has area = 4*120=480 ft^2
the floor has area = 10*14=140 ft^2
total area of walls and floor = 480+140= 620 ft^2
- so bc. we know that each tile is 1 foot long and 1 foot wide so what mean an area of 1 ft^2 and the total area equal 620 ft^2 so this mean that Jamie will need 620 tiles
